Question

20 points. Please answer and explain if possible. Multiply. -2y^2 * xy^4

Answer 1

Answer:

$\large\boxed{-2xy^6}$

Step-by-step explanation:

$-2y^2\cdot xy^4=(-2)(x)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-2xy^{2+4}=-2xy^6$

Answer 2

When the bases are the same, you can combine the exponents.

x³   [x is where the base is]

For example:

x³ · y² = x³y²   You can't simplify this anymore because they have different bases/variables

[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:

x² · x³ = $x^{2+3}=x^5$

[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:

(x³)²=$x^{3*2}=x^6$

$-2y^2*xy^4=-2x(y^{2+4})=-2xy^6$